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Finding the Fourth Proportional to 2,446.80, 3,670.20 and 1,823.10

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Solution

The fourth proportional to 2,446.80, 3,670.20 and 1,823.10 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.80 : 3,670.20 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    2,446.80/3,670.20 = 1,823.10/x
  3. Step 3: Cross multiply
    2,446.80x = 3,670.20 × 1,823.10
  4. Step 4: Simplify right side
    2,446.80x = 6,691,141.62
  5. Step 5: Solve for x
    x = 6,691,141.62/2,446.80
  6. Step 6: Final answer
    x = 2,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.